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Simplifying -16 + -9x = 2 + -4(4x + 1) Reorder the terms: -16 + -9x = 2 + -4(1 + 4x) -16 + -9x = 2 + (1 * -4 + 4x * -4) -16 + -9x = 2 + (-4 + -16x) Combine like terms: 2 + -4 = -2 -16 + -9x = -2 + -16x Solving -16 + -9x = -2 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -16 + -9x + 16x = -2 + -16x + 16x Combine like terms: -9x + 16x = 7x -16 + 7x = -2 + -16x + 16x Combine like terms: -16x + 16x = 0 -16 + 7x = -2 + 0 -16 + 7x = -2 Add '16' to each side of the equation. -16 + 16 + 7x = -2 + 16 Combine like terms: -16 + 16 = 0 0 + 7x = -2 + 16 7x = -2 + 16 Combine like terms: -2 + 16 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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